517 citations · 1k across the 29 of their papers we have counts for
6 papers · 2 filters
The Ginibre ensemble and Gaussian analytic functions
Manjunath Krishnapur, Bálint Virág
We show that as changes, the characteristic polynomial of the random matrix with i.i.d. complex Gaussian entries can be described recursively through a process anal…
Absolute continuity of the limiting eigenvalue distribution of the random Toeplitz matrix
Arnab Sen, Bálint Virág
We show that the limiting eigenvalue distribution of random symmetric Toeplitz matrices is absolutely continuous with density bounded by 8, partially answering a question of Bryc,…
The top eigenvalue of the random Toeplitz matrix and the sine kernel
Arnab Sen, Bálint Virág
We show that the top eigenvalue of an random symmetric Toeplitz matrix, scaled by , converges to the square of the operator norm of the sine ke…
Limits of spiked random matrices II
Alex Bloemendal, Bálint Virág
The top eigenvalues of rank spiked real Wishart matrices and additively perturbed Gaussian orthogonal ensembles are known to exhibit a phase transition in the large size limit.…
The right tail exponent of the Tracy-Widom-beta distribution
Laure Dumaz, Bálint Virág
The Tracy-Widom beta distribution is the large dimensional limit of the top eigenvalue of beta random matrix ensembles. We use the stochastic Airy operator representation to show t…
Patterns in Sinai's walk
Dimitris Cheliotis, Bálint Virág
Sinai's random walk in random environment shows interesting patterns on the exponential time scale. We characterize the patterns that appear on infinitely many time scales after ap…